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28888200 = 233252111459
BaseRepresentation
bin110111000110…
…0110010001000
32000100200011100
41232030302020
524343410300
62511101400
7500355105
oct156146210
960320140
1028888200
1115341150
129811860
135ca5c13
143b9daac
152809700
hex1b8cc88

28888200 has 144 divisors (see below), whose sum is σ = 105908400. Its totient is φ = 6998400.

The previous prime is 28888199. The next prime is 28888201. The reversal of 28888200 is 288882.

It is an interprime number because it is at equal distance from previous prime (28888199) and next prime (28888201).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28888201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19071 + ... + 20529.

It is an arithmetic number, because the mean of its divisors is an integer number (735475).

Almost surely, 228888200 is an apocalyptic number.

28888200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52954200).

28888200 is an abundant number, since it is smaller than the sum of its proper divisors (77020200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28888200 is a wasteful number, since it uses less digits than its factorization.

28888200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 28888200 is about 5374.7744138708. The cubic root of 28888200 is about 306.8363637560.

Multiplying 28888200 by its reverse (288882), we get a square (8345280992400 = 28888202).

28888200 divided by its reverse (288882) gives a square (100 = 102).

It can be divided in two parts, 288 and 88200, that multiplied together give a square (25401600 = 50402).

The spelling of 28888200 in words is "twenty-eight million, eight hundred eighty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1459 1650 1800 1980 2200 2475 2918 3300 3960 4377 4950 5836 6600 7295 8754 9900 11672 13131 14590 16049 17508 19800 21885 26262 29180 32098 35016 36475 43770 48147 52524 58360 64196 65655 72950 80245 87540 96294 105048 109425 128392 131310 144441 145900 160490 175080 192588 218850 240735 262620 288882 291800 320980 328275 385176 401225 437700 481470 525240 577764 641960 656550 722205 802450 875400 962940 1155528 1203675 1313100 1444410 1604900 1925880 2407350 2626200 2888820 3209800 3611025 4814700 5777640 7222050 9629400 14444100 28888200